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Finding the Fourth Proportional to 7,691.56, 11,529.24 and 3,989.86

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Solution

The fourth proportional to 7,691.56, 11,529.24 and 3,989.86 is: 5,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.56 : 11,529.24 = 3,989.86 : x
  2. Step 2: Convert to fraction form
    7,691.56/11,529.24 = 3,989.86/x
  3. Step 3: Cross multiply
    7,691.56x = 11,529.24 × 3,989.86
  4. Step 4: Simplify right side
    7,691.56x = 46,000,067.92
  5. Step 5: Solve for x
    x = 46,000,067.92/7,691.56
  6. Step 6: Final answer
    x = 5,980.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.